English

The value of the global intertwining operators on spherical vectors

Number Theory 2018-05-02 v2 Representation Theory

Abstract

Let F be a global field, G an unramified quasi-split reductive group over F and chi an everywhere unramified automorphic character of a maximal maximally split torus of G. Using Langlands-Shahidi theory, we compute the meromorphic function defined by the action of a global standard intertwining operator associated to chi on a spherical vector and show that the ratio of its poles in the positive Weyl chamber is well behaved.

Keywords

Cite

@article{arxiv.1709.09107,
  title  = {The value of the global intertwining operators on spherical vectors},
  author = {Volker Heiermann},
  journal= {arXiv preprint arXiv:1709.09107},
  year   = {2018}
}

Comments

11 pages; minor changes in the revised version including a shortening of the title; two footnotes and a remark on Langlands-Shahidi theory added